Spacelike Ricci Inheritance Vectors in a Model of String Cloud and String Fluid Stress Tensor

Abstract

We study the consequences of the existence of spacelike Ricci inheritance vectors (SpRIVs) parallel to $x^a$ for model of string cloud and string fluid stress tensor in the context of general relativity. Necessary and sufficient conditions are derived for a spacetime with a model of string cloud and string fluid stress tensor to admit a SpRIV and a SpRIV which is also a spacelike conformal Killing vector (SpCKV). Also, some results are obtained.

11 pages

References in corpus (1)

• Space-times admitting a three-dimensional conformal group

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• Some aspects of cylindrical solutions in Brans-Dicke gravity
• Electrostatics and self-force in asymptotically flat cylindrical wormholes
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